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Does the point $(9, 1)$ satisfy the equation $y = x + 8$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the linear equation?

Full solution

Q. Does the point

(9, 1)

satisfy the equation

y = x + 8

?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Identify values of $x$ and $y$ : Identify the values of $x$ and $y$ in the point $(9,1)$ . The point $(9,1)$ gives us $x = 9$ and $y = 1$ .
Substitute values into equation: Substitute the values of $x$ and $y$ into the equation $y = x + 8$ . $\newline$ Substitute $9$ for $x$ and $1$ for $y$ in the equation $y = x + 8$ . $\newline$ Equation after substitution: $1 = 9 + 8$ .
Perform addition on right side: Perform the addition on the right side of the equation. $\newline$ Calculate $9 + 8$ to get $17$ . $\newline$ Equation after calculation: $1 = 17$ .
Determine if equation is true: Determine if the equation $1 = 17$ is true. $\newline$ Since $1$ is not equal to $17$ , the equation $1 = 17$ is not true. $\newline$ Therefore, the point $(9, 1)$ does not satisfy the equation $y = x + 8$ .

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